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Finding the Fourth Proportional to 3,146.69, 4,721.54 and 2,228.15

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Solution

The fourth proportional to 3,146.69, 4,721.54 and 2,228.15 is: 3,343.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,146.69 : 4,721.54 = 2,228.15 : x
  2. Step 2: Convert to fraction form
    3,146.69/4,721.54 = 2,228.15/x
  3. Step 3: Cross multiply
    3,146.69x = 4,721.54 × 2,228.15
  4. Step 4: Simplify right side
    3,146.69x = 10,520,264.60
  5. Step 5: Solve for x
    x = 10,520,264.60/3,146.69
  6. Step 6: Final answer
    x = 3,343.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.